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Simplifying (35 + -3x) * x = 2xm Reorder the terms for easier multiplication: x(35 + -3x) = 2xm (35 * x + -3x * x) = 2xm (35x + -3x2) = 2xm Solving 35x + -3x2 = 2mx Solving for variable 'x'. Reorder the terms: -2mx + 35x + -3x2 = 2mx + -2mx Combine like terms: 2mx + -2mx = 0 -2mx + 35x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-2m + 35 + -3x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-2m + 35 + -3x)' equal to zero and attempt to solve: Simplifying -2m + 35 + -3x = 0 Reorder the terms: 35 + -2m + -3x = 0 Solving 35 + -2m + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -2m + -35 + -3x = 0 + -35 Reorder the terms: 35 + -35 + -2m + -3x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -2m + -3x = 0 + -35 -2m + -3x = 0 + -35 Combine like terms: 0 + -35 = -35 -2m + -3x = -35 Add '2m' to each side of the equation. -2m + 2m + -3x = -35 + 2m Combine like terms: -2m + 2m = 0 0 + -3x = -35 + 2m -3x = -35 + 2m Divide each side by '-3'. x = 11.66666667 + -0.6666666667m Simplifying x = 11.66666667 + -0.6666666667mSolution
x = {0, 11.66666667 + -0.6666666667m}
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